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Notice that the curve given by the parametric equations x x At which t value is the tangent to this curve vertical? t Y = = 16t2 t³ - 9t is symmetric about the x-axis. (If t gives us the point (x, y), then -t will give (x, y)). At which x value is the tangent to this curve horizontal? The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area =

Notice that the curve given by the parametric equations x x At which t value is the tangent to this curve vertical? t Y = = 16t2 t³ - 9t is symmetric about the x-axis. (If t gives us the point (x, y), then -t will give (x, y)). At which x value is the tangent to this curve horizontal? The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Notice that the curve given by the parametric equations X = At which t value is the tangent to this curve vertical? t = X Y is symmetric about the x-axis. (If t gives us the point (x, y), then –t will give (x, −y) ). At which a value is the tangent to this curve horizontal? = = = 16-² t³ - 9t The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area
Transcribed Image Text:Notice that the curve given by the parametric equations X = At which t value is the tangent to this curve vertical? t = X Y is symmetric about the x-axis. (If t gives us the point (x, y), then –t will give (x, −y) ). At which a value is the tangent to this curve horizontal? = = = 16-² t³ - 9t The curve makes a loop which lies along the x-axis. What is the total area inside the loop? Area
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